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STALIN [3.7K]
2 years ago
11

Check whether the given number is a solution of the equation or inequality. 9+4y=17;1

Mathematics
1 answer:
uranmaximum [27]2 years ago
6 0

Answer:

9 + 4(1) \neq \\ 17

Step-by-step explanation:

to satisfy inequality

9 + 4(1) < 17

13 < 17

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What is the radius and diameter of 7
Aleks04 [339]
<h3>Answer:</h3>

The radius would be <em>3.5 units</em>.

Step-by-step explanation:

This is because a radius is always half of a diameter.

By using that,

7 ÷ 2 = 3.5 units

Since there was no measurement listed in the question, the answer would be in "units."

8 0
3 years ago
If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.
Sholpan [36]

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.

Solve this system of two equations. From the first equation:

4x-5x=-7-4\\ \\-x=-11\\ \\x=11

Substitute it into the second equation:

11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}

4 0
3 years ago
The graph of a function f(x) passes through the following points:
Alex

The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)

Let

f(x) = ax² + bx + c

Plug x = 0, and y = 2

c = 2 ...(1)

Plug x = 1 and y = 0

a + b + c = 0 ..(2)

Plug x = -1 and y = 0

a - b + c = 0  ...(3)

After solving (1), (2), and (3)

a = -2

b = 0

c = 2

f(x) = -2x² + 2

Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

5 0
2 years ago
A square region with perimeter 60 inches is made with square inch tiles. Bob removes one tile from the square and rearranges the
icang [17]

Answer:

  60 inches

Step-by-step explanation:

The perimeter will be minimized when the tiles are rearranged to form a rectangle with dimensions as close to each other as possible.

<h3>Rectangle dimensions</h3>

The square has a side length of ...

  P = 4s   ⇒   s = P/4 . . . . . P is perimeter, s is side length

  (60 in)/4 = 15 in . . . . length of the side of the square

The square has an area of ...

  A = s²

  A = (15 in)² = 225 in²

When 1 tile is removed, the resulting area, in square inches, is ...

  A = 225 -1 = 15² -1² = (15 -1)(15 +1) = 14×16

<h3>Perimeter</h3>

The perimeter of a rectangle is given by ...

  P = 2(L+W)

For this rectangle, the perimeter is ...

  P = 2(14 in + 16 in) = 2(30 in) = 60 in

The perimeter of the rectangle is 60 inches.

3 0
2 years ago
Find the slope of the line that is perpendicular to the line that passes through the points (5,2) and (8,1)
Naya [18.7K]

Answer:

3

Step-by-step explanation:

The slope of the line passing through the points is

m = (y2-y1)/(x2-x1)

    = ( 1-2)/(8-5)

   = -1/3

The slope that is perpendicular is the negative reciprocal which is

- ( 1/(-1/3)

+ 3/1

The perpendicular slope is 3

3 0
2 years ago
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